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    [技术]Arizona眼睛模型 [复制链接]

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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 B]tIi^  
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    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 ?-1r$31p  
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    模型 :;t #\%L/  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 mrX^2SR  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. J,b&XD@m  
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    光源 WJ*n29^N^h  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 EUIIr4]  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Q X%&~  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 m*mm\wN5  
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    图2. 字母F光源的设定方法光 qc-mGmomL  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 %Q!`NCe+[  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Un6/e/6,  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Gt wT  
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    图5. 视网膜重点采样规格设定
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    脚本 <7Ae-!>x  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: b"TjGE  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 \w'*z&`W9  
    余下的脚本计算与屈光度有关的所有参数。 "]\+?  
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    分析 i<(Xr  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #0Tq=:AE>  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 C{d7J'Avk  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. JCW\ *R  
    |`jjHuQ;  
    Dim entity As T_ENTITY QFIL)'K  
    Dim op As T_OPERATION !\ g+8>  
    Dim mat As T_MODELMATERIAL rLX4jT^  
    Dim A As Double M|] "W  
    Dim pupilDiam As Double E#F/88(  
    Dim eID As Long @&}q} D  
    Dim parID As Long GHmv} Z  
    Dim count As Integer K).n.:vYZ  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ~ Uo)0  
    Dim tlens As Double, nlens As Double rSYi<ku  
    Dim curv As Double, conic As Double OaL\w D^  
    Dim ok As Long \.g\Zib )  
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    Sub Main  kQ   
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        '用户输入对话框 Zo{$  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ce6__f 5?  
            TextBox 220,21,40,21,.TextBox1 'default: 0 CNww`PX,zZ  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #A8@CA^d  
            OKButton 40,91,90,21 U w4>v:  
            CancelButton 190,91,90,21 1 tR_8lC  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 WlYs~(= 9  
            TextBox 220,49,40,21,.TextBox2 'default: 4 6b!F1  
        End Dialog XerbUkZ  
        Dim dlg As UserDialog b<]n%Q'n  
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        ok = Dialog (dlg)  RD tU43  
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        If ok=0 Then    'cancel button was pressed 8 B**8yg.  
            Print "Execution cancelled." Sc7U |s  
            End sFBneBub  
        End If c=AOkX3UD  
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        'Assign accommodation and pupil diameter & use defaults if field left empty wR{'y)$  
        If dlg.TextBox1 = "" Then -)~SM&  
            A = 0           'Default accommodation +S))3 5N[  
        Else >s`J5I!  
            A = CDbl(dlg.TextBox1) i%6;  
        End If "}Me}S<  
    "HYQqNj?Z  
        If dlg.TextBox2 = "" Then smm]6  
            pupilDiam = 4   'Default pupil diameter _f6HAGDN  
        Else Pm$q]A~  
            pupilDiam = CDbl(dlg.TextBox2) G7=p Bf  
        End If D/=5tOy  
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        Print " " V#jWege  
        Print "Accommodation = " & A & " Diopters" ?h!i0Rsm  
        Print "Pupil Diameter = " & pupilDiam & " mm" ?2Kt'1s#  
    .6OgO{P:  
        ' Calculate new parameters with accommodation lHZU iB  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness .Q)|vq^  
    fBQ?|~:n  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens S1U@UC  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens iKas/8   
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens f7I{WfZ\P  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens W(hMft%  
    GQ_p-/p R  
        tlens = 3.767 + 0.04*A                  'Lens thickness R1Ye<R!Q  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction &P,^.'  
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        'Adjust parameters to account for accommodation pZyQY+O  
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        '************************************************************************* ?GTU=gp Q  
        'Aqueous thickness (Position of Lens) qT/Do?Y  
        '************************************************************************* %Qmk2  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) sK=0Np=`  
        GetCustomElement eID, entity _uc\ D R  
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        parID = FindFullName( "Geometry.Arizona Eye" ) v=95_l  
    ?6!]Nl1gr  
        ' Delete any shift(s) in z {m`A!qcD|  
        count = 0 $F.kK%-*  
        While GetOperationCount(eID)>count {_U Kttp  
            GetOperation eID, count, op %{;Qls%[t  
            If op.Type="ShiftZ" Then -VZRujl  
                DeleteOperation eID,count `m.eM  
                count=count-1 U4G}DCU  
            End If 3 DaQo0N  
            count=count+1 _hG;.=sr  
        Wend iE.-FZc  
    na^sBq?\  
        'Set new shift in V Yw%01#  
        op.Type = "ShiftZ" {7Mj P+\  
        op.val1 = taq *1@:'rJ  
        op.parent = parID umLb+GbI4  
        AddOperation eID, op %c)[ kAU!  
        Print "Set aqueous humor thickness = " & taq-0.55  Yav2q3  
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        '************************************************************************* vKoP|z=m  
        'Radius and conic constant of anterior lens #'4OYY.  
        '************************************************************************* TEsnNi 1  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) dC}`IR  
        GetConic eID, entity, curv, conic !AJ]j|@VBd  
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        SetConic eID, entity, 1/Rant, CCant UhmTr[&  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant wY"o`o Z  
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        '************************************************************************* bAr` E  
        'Radius and conic constant of posterior lens &6Il(3-^  
        '************************************************************************* ^nVl (^{  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Y\2|x*KwvF  
        GetConic eID, entity, curv, conic 8[ry |J  
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        SetConic eID, entity, 1/Rpost, CCpost 9SMiJad<  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost hnWo|! ,O$  
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        '************************************************************************* UK*qKj. )  
        'Lens thickness (Position of posterior lens surface) 9N[EZhW  
        '************************************************************************* xv7"WFb  
    9j*0D("  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5jq=_mHt  
    f=J<*h  
        ' Delete any z-shift(s) fRTo.u  
        count = 0 # fhEc;t  
        While GetOperationCount(eID)>count %~*jae!f  
            GetOperation eID, count, op 1px\K8  
            If op.Type="ShiftZ" Then H;WY!X$x  
                DeleteOperation eID,count F=)eLE{W  
                count=count-1 6ri\>QrF  
            End If y|_Eu:  
            count=count+1 *@ED}Mj+  
        Wend 1@XgTL4  
    (sw-~U%  
        'Set new z-shift ;LJ3c7$@lf  
        op.Type = "ShiftZ" Y|0ow_oH  
        op.val1 = tlens *Zd84wRSj  
        op.parent = parID LZ*R[  
        AddOperation eID, op |Y_ -  
        Print "Set lens thickness = " & tlens jJwkuh8R  
    }1+%_|Y-E  
        '************************************************************************* !F!3Q4  
        'Lens index of refraction bdh(WJh%  
        '************************************************************************* >qT'z$  
        eID = FindMaterial( "Lens" ) 4}KU>9YRA  
        GetModelMaterial eID, mat 3]E(mRX  
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        mat.Nd = nlens Hlj6$%.  
        SetModelMaterial eID, mat :XT?jdg  
        Print "Set lens index of refraction = " & nlens g?q KNY  
    EY>8O+  
        '************************************************************************* 9 -jO,l  
        'Pupil diameter e9u@`ZC07  
        '************************************************************************* igDyp0t  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) .6T6 S v  
    %6 =\5>  
        'Adjust pupil diameter (trimming volume inner hole) F}ukZ DB  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" &:?e&  
    'zgvQMu  
        ' Adjust pupil location to just in front of the lens |Svk^mq  
        parID = FindFullName( "Geometry.Arizona Eye" ) w!q&  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ]"x\=A  
        count = 0 "2HY5 AE  
        While GetOperationCount(eID)>count ?p8k{N(1  
            GetOperation eID, count, op I>w^2 (y  
            If op.Type="ShiftZ" Then iH)Nk^   
                DeleteOperation eID,count {^RG% &S  
                count=count-1 )@:l^$x  
            End If $T dC/#7  
            count=count+1 Go+[uY^  
        Wend lQt% Qx  
        op.Type = "ShiftZ" Z^tGu7x  
        op.val1 = taq-0.01 <Dw]yGK@  
        op.parent = parID oP$kRfXS!<  
        AddOperation eID, op (M% ;~y\  
    c>Z*/>~  
        Print "Set pupil diameter = " & pupilDiam @oH[SWx  
    kN'Thq/ZE  
        'Update AZ Eye subassembly Description z<a2cQ?XQ  
        eID = FindFullName( "Geometry.Arizona Eye" ) #w~0uCzQ@  
        GetEntity eID, entity ;A^K_w'  
        entity.Description = "Accommodation = " & A & "D" :Z2tig nL  
        SetEntity eID, entity >riq98Us/  
    V;[p438o  
        Update +0#JnqH"  
        Print "DONE!" 8j\d~Lw=  
         ~'BUrX\  
    End Sub aV|k}H{wt  
    ^L O]Z  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: +J40wFI:y  
    :Ee?K  
    Accommodation = 4 Diopters r>3^kL5UI  
    Pupil Diameter = 4 mm F_PTMl=Q|J  
    Set aqueous humor thickness = 2.81 q,,j',8kq/  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 T]2U fi.  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 +sn2Lw!^  
    Set lens thickness = 3.927 T7GQ^WnA  
    Set lens index of refraction = 1.42672 eti9nPjG  
    Set pupil diameter = 4 jyjQzt >\  
    DONE! :_c*m@=z(  
     
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